Fermion parity resolution of entanglement
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68378271%3A_____%2F25%3A00643814" target="_blank" >RIV/68378271:_____/25:00643814 - isvavai.cz</a>
Result on the web
<a href="https://hdl.handle.net/11104/0375528" target="_blank" >https://hdl.handle.net/11104/0375528</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/JHEP12(2025)134" target="_blank" >10.1007/JHEP12(2025)134</a>
Alternative languages
Result language
angličtina
Original language name
Fermion parity resolution of entanglement
Original language description
Entanglement is analyzed in the Majorana fermion conformal field theory (CFT) in the vacuum, in the fermion state, and in states built from conformal interfaces. In the boundary-state approach, the Hilbert space admits two factorizations for a single interval, producing distinct entanglement spectra determined by spin structures. Although Rényi and relative entropies are shown to be insensitive to these structures, symmetry-resolved entanglement naturally reveals their differences. The Majorana fermion’s Z2FZ2F symmetry, generated by the fermion-parity operator (−1)FF, distinguishes bosonic from fermionic sectors, motivating the notion of fermion-parity resolution. While Z2FZ2F is naturally a symmetry of the vacuum and fermion reduced density matrices, the Hilbert space factorization is shown to stabilize this symmetry in conformal interface states. When an unpaired Majorana zero mode is present, fermion-parity-resolved entropies display equipartition at all orders in the UV cutoff, in its absence, the breaking of equipartition is quantified by Ramond-sector data. This behavior persists across all states considered. Connections with symmetry-protected topological phases of matter are outlined. All results are compared with twist field computations.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10303 - Particles and field physics
Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of High Energy Physics
ISSN
1029-8479
e-ISSN
1029-8479
Volume of the periodical
2025
Issue of the periodical within the volume
12
Country of publishing house
DE - GERMANY
Number of pages
39
Pages from-to
134
UT code for WoS article
001642879300004
EID of the result in the Scopus database
2-s2.0-105025463952